Skaskiv L. Groups with many subgroups related to nilpotent.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U004233

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

11-09-2012

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

The thesis is devoted to groups with many subgroups related to nilpotent groups. It is characterized groups without non-trivial perfect sections with the minimality condition on non-"finite-by-nilpotent" subgroups. It is described torsion soluble groups with the maximality condition on non-"abelian-by-finite" subgroups. The connection of properties of a brace with properties of its additive and adjoint groups are described. It is introduced the group associated with a brace and it is investigated its properties.

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